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Finding the Third Proportional to 341,102 and 723,764

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Solution

The third proportional to 341,102 and 723,764 is: 1,535,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,102 : 723,764 = 723,764 : x
  2. Step 2: Convert to fraction form
    341,102/723,764 = 723,764/x
  3. Step 3: Cross multiply
    341,102x = 723,764 × 723,764
  4. Step 4: Simplify right side
    341,102x = 523,834,327,696
  5. Step 5: Solve for x
    x = 523,834,327,696/341,102
  6. Step 6: Final answer
    x = 1,535,711.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.